#![allow(clippy::excessive_precision)] #![allow(clippy::unreadable_literal)] use crate::Float; use ndarray::{ArrayView2, ArrayViewMut2}; pub trait SbpOperator { fn diffxi(prev: ArrayView2, fut: ArrayViewMut2); fn diffeta(prev: ArrayView2, fut: ArrayViewMut2); fn h() -> &'static [Float]; } pub trait UpwindOperator: SbpOperator { fn dissxi(prev: ArrayView2, fut: ArrayViewMut2); fn disseta(prev: ArrayView2, fut: ArrayViewMut2); } #[macro_export] macro_rules! diff_op_1d { ($self: ty, $name: ident, $BLOCK: expr, $DIAG: expr, $symmetric: expr) => { impl $self { fn $name(prev: ArrayView1, mut fut: ArrayViewMut1) { assert_eq!(prev.shape(), fut.shape()); let nx = prev.shape()[0]; assert!(nx >= 2 * $BLOCK.len()); let dx = 1.0 / (nx - 1) as Float; let idx = 1.0 / dx; let block = ::ndarray::arr2($BLOCK); let diag = ::ndarray::arr1($DIAG); let first_elems = prev.slice(::ndarray::s!(..block.len_of(::ndarray::Axis(1)))); for (bl, f) in block.outer_iter().zip(&mut fut) { let diff = first_elems.dot(&bl); *f = diff * idx; } // The window needs to be aligned to the diagonal elements, // based on the block size let window_elems_to_skip = block.len_of(::ndarray::Axis(0)) - ((diag.len() - 1) / 2); for (window, f) in prev .windows(diag.len()) .into_iter() .skip(window_elems_to_skip) .zip(fut.iter_mut().skip(block.len_of(::ndarray::Axis(0)))) .take(nx - 2 * block.len_of(::ndarray::Axis(0))) { let diff = diag.dot(&window); *f = diff * idx; } let last_elems = prev.slice(::ndarray::s!(nx - block.len_of(::ndarray::Axis(1))..;-1)); for (bl, f) in block.outer_iter() .zip(&mut fut.slice_mut(s![nx - block.len_of(::ndarray::Axis(0))..;-1])) { let diff = if $symmetric { bl.dot(&last_elems) } else { -bl.dot(&last_elems) }; *f = diff * idx; } } } }; } mod upwind4; pub use upwind4::Upwind4; mod upwind9; pub use upwind9::Upwind9; mod traditional4; pub use traditional4::SBP4; mod traditional8; pub use traditional8::SBP8; #[cfg(test)] pub(crate) mod testing { use super::*; use ndarray::prelude::*; pub(crate) fn grid_eval Float>( n: (usize, usize), f: F, ) -> Array2 { let nx = n.1; let dx = 1.0 / (nx - 1) as Float; let ny = n.0; let dy = 1.0 / (ny - 1) as Float; Array2::from_shape_fn(n, |(j, i)| { let x = dx * i as Float; let y = dy * j as Float; f(x, y) }) } pub(crate) fn check_operator_on( n: (usize, usize), f: F, dfdx: FX, dfdy: FY, eps: Float, ) where SBP: SbpOperator, F: Fn(Float, Float) -> Float, FX: Fn(Float, Float) -> Float, FY: Fn(Float, Float) -> Float, { let mut y = Array2::zeros(n); let x = grid_eval(n, f); y.fill(0.0); SBP::diffxi(x.view(), y.view_mut()); approx::assert_abs_diff_eq!(&y, &grid_eval(n, dfdx), epsilon = eps); y.fill(0.0); SBP::diffeta(x.view(), y.view_mut()); approx::assert_abs_diff_eq!(&y, &grid_eval(n, dfdy), epsilon = eps); } }